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1289738640 = 243541131071
BaseRepresentation
bin100110011011111…
…1101100110010000
310022212212111210210
41030313331212100
510120133114030
6331551324120
743650411651
oct11467754620
93285774723
101289738640
11602029803
122bbb20640
13177284478
14c340d528
1578364bb0
hex4cdfd990

1289738640 has 80 divisors (see below), whose sum is σ = 4095737856. Its totient is φ = 335539200.

The previous prime is 1289738627. The next prime is 1289738657. The reversal of 1289738640 is 468379821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1289738640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55696 + ... + 75375.

Almost surely, 21289738640 is an apocalyptic number.

1289738640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1289738640 is an abundant number, since it is smaller than the sum of its proper divisors (2805999216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1289738640 is a wasteful number, since it uses less digits than its factorization.

1289738640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131128 (or 131122 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 1289738640 is about 35912.9313757593. The cubic root of 1289738640 is about 1088.5137108751.

The spelling of 1289738640 in words is "one billion, two hundred eighty-nine million, seven hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 131071 262142 393213 524284 655355 786426 1048568 1310710 1572852 1966065 2097136 2621420 3145704 3932130 5242840 5373911 6291408 7864260 10485680 10747822 15728520 16121733 21495644 26869555 31457040 32243466 42991288 53739110 64486932 80608665 85982576 107478220 128973864 161217330 214956440 257947728 322434660 429912880 644869320 1289738640